On Some Lk-Finite-Type Euclidean Hypersurfaces

الملخص EN

We study some Lk-finite-type Euclidean hypersurfaces.

We classify Lk-1-type Euclidean hypersurfaces and Lk-null-2-type Euclidean hypersurfaces with at most two distinct principal curvatures.

We also prove that, under some mild restrictions, there exists no Lk-null-3-type Euclidean hypersurface.